In this paper, we present a number of numerical results concerning the newly introduced class of Hamiltonian Boundary Value Methods (hereafter, HBVMs). Such methods are very suited for the numerical integration of Hamiltonian problems, since they are able to preserve, in the discrete solution, the exact value of polynomial Hamiltonians. In such a way, a numerical drift of the Hamiltonian, sometimes experienced when solving such problems, cannot occur.

Hamiltonian BVMs (HBVMs): a family of "drift-free" methods for integrating polynomial Hamiltonian problems / L.Brugnano; F.Iavernaro; D.Trigiante. - In: AIP CONFERENCE PROCEEDINGS. - ISSN 0094-243X. - STAMPA. - 1168:(2009), pp. 715-718. ((Intervento presentato al convegno ICNAAM 2009 tenutosi a Rethymno, Crete (Greece) nel 18-22 September 2009 [10.1063/1.3241566].

Hamiltonian BVMs (HBVMs): a family of "drift-free" methods for integrating polynomial Hamiltonian problems

BRUGNANO, LUIGI;TRIGIANTE, DONATO
2009

Abstract

In this paper, we present a number of numerical results concerning the newly introduced class of Hamiltonian Boundary Value Methods (hereafter, HBVMs). Such methods are very suited for the numerical integration of Hamiltonian problems, since they are able to preserve, in the discrete solution, the exact value of polynomial Hamiltonians. In such a way, a numerical drift of the Hamiltonian, sometimes experienced when solving such problems, cannot occur.
Proceedings of ICNAAM 2009
ICNAAM 2009
Rethymno, Crete (Greece)
18-22 September 2009
L.Brugnano; F.Iavernaro; D.Trigiante
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2158/360633
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